Function theoretic properties of solutions of
partial differential equations and of solutions
of systems of such equations are investigated.
In addition questions concerning generalized
analytic functions are discussed.
In the study of partial differential equations
the development and investigation of differential
and integral operators of Bauer, Bergman and Vekua type
constitute the main field. Here linear partial
differential equations of second and higher order
and systems of such equations are considered.
Moreover nonlinear equations such as the Toda and
the Ernst equation are treated.